Home / 3,882-5,823.04-2,154.26

Finding the Fourth Proportional to 3,882, 5,823.04 and 2,154.26

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Solution

The fourth proportional to 3,882, 5,823.04 and 2,154.26 is: 3,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882 : 5,823.04 = 2,154.26 : x
  2. Step 2: Convert to fraction form
    3,882/5,823.04 = 2,154.26/x
  3. Step 3: Cross multiply
    3,882x = 5,823.04 × 2,154.26
  4. Step 4: Simplify right side
    3,882x = 12,544,342.15
  5. Step 5: Solve for x
    x = 12,544,342.15/3,882
  6. Step 6: Final answer
    x = 3,231.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.